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Finding the Fourth Proportional to 10,886.86, 16,320.30 and 3,956.50

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Solution

The fourth proportional to 10,886.86, 16,320.30 and 3,956.50 is: 5,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.86 : 16,320.30 = 3,956.50 : x
  2. Step 2: Convert to fraction form
    10,886.86/16,320.30 = 3,956.50/x
  3. Step 3: Cross multiply
    10,886.86x = 16,320.30 × 3,956.50
  4. Step 4: Simplify right side
    10,886.86x = 64,571,266.95
  5. Step 5: Solve for x
    x = 64,571,266.95/10,886.86
  6. Step 6: Final answer
    x = 5,931.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.